Functional Analysis and Its Applications

, Volume 49, Issue 3, pp 222–225 | Cite as

Representations of nilpotent groups: Extensions, neutral cohomology, and Pontryagin spaces

  • E. V. Kissin
  • V. S. Shulman
Brief Communications


Spectral criteria for the cohomological triviality of extensions of representations of connected nilpotent groups are obtained. They are applied to the study of symmetrized extensions of unitary representations by finite-dimensional representations and to the theory of J-unitary representations of groups on Pontryagin spaces.


extension of representation Pontryagin space Engel element neutral cocycle 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.STORMLondon Metropolitan UniversityLondonUK
  2. 2.Vologda State UniversityMoscowRussia

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